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Find the Number of Sides in a Regular Polygon, If Its Interior Angle Is: 150° - Mathematics

Sum

Find the number of sides in a regular polygon, if its interior angle is: 150°

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Solution

Let no.of.sides of regular polygon be n.

Each interior angle = 150°

`therefore (("2n" - 4) xx 90^circ)/"n" = 150^circ`

180n - 360° = 150n

180n - 150n = 360°

30n = 360°

n = 12

Concept: Regular Polynomial
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APPEARS IN

Selina Class 6 Mathematics
Chapter 28 Polygons
Exercise 28 (B) | Q 2.2
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